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Finding the Third Proportional to 20,983.88 and 45,073.69

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Solution

The third proportional to 20,983.88 and 45,073.69 is: 96,818.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,983.88 : 45,073.69 = 45,073.69 : x
  2. Step 2: Convert to fraction form
    20,983.88/45,073.69 = 45,073.69/x
  3. Step 3: Cross multiply
    20,983.88x = 45,073.69 × 45,073.69
  4. Step 4: Simplify right side
    20,983.88x = 2,031,637,304.85
  5. Step 5: Solve for x
    x = 2,031,637,304.85/20,983.88
  6. Step 6: Final answer
    x = 96,818.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.